Numerical Analysis of Pulse Responses in the Dispersion Media

Analysis of pulse responses from conducting strips with dispersion medium sandwiched air layer

“…In the parameters of the complex dielectric constant, we use the value obtained from Ref. [6]. Here, FILT parameters of numerical calculation use a ¼ 4, J ¼ 10, and N ¼ 50.…”

“…On the other hand, by using the 0-th mode propagation constant k ð0Þ 2 and real part of complex dielectric constant "ðsÞ % 5:8742 at f 0 ¼ 1 GHz in Ref. [6], each propagation distance is l d1 ¼ 2D 0 ffiffiffiffiffiffiffi ffi "ðsÞ p ¼ 0:8 ffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 5:8742 p % 1:94, l d2 ¼ 2D 0 ffiffiffiffiffiffiffi ffi "ðsÞ p ¼ 0:6 ffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 5:8742 p % 1:45. Therefore, both results are approximately same as T d1 ffi l d1 , T d2 ffi l d2 .…”

“…The waveform of the incident pulse at x ¼ 0 is assumed to be a sine pulse in complex frequency domain, as in Fig. 2(a), and it can be expressed as [6,7,8,9]…”

“…A n , B n are the unknown coefficients to be determined from boundary conditions. Here, to express the dispersion media, complex dielectric constants are employed by the combination with Sellmeier's formula and orientational polarization as follows [6]:…”

“…In recent papers [6,7,8,9], a periodic perfect conductor is used to investigate the solution for the metallic scatterer problem in soil. We have analyzed the pulse reflection responses from the periodic perfect conductor in two dispersion media by varying the parameters for the permittivity properties of the complex dielectric constants, and investigated the influence of both the dielectric and conductor using a combination of fast inversion of Laplace transform (FILT) method [10] and point matching method (PMM).…”